The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

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The ages of Sulekha and Arunima are in the ratio 9 : 8 respectively. After 5 years, the ratio of their ages will be 10 : 9. What is the difference in their ages ?

A4 years

B5 years

C6 years

D7 years

Nithin ? Aug 14 '2022 at 11:47

Correct answer is: 5 years

Explanation:

Let Sulekha age be 9 year,
Then Arunima's age = 8x years

\(\eqalign{ & \frac{{9x + 5}}{{8x + 5}} = \frac{{10}}{9} \cr & \Rightarrow 9\left( {9x + 5} \right) = 10\left( {8x + 5} \right) \cr & \Rightarrow 81x + 45 = 80x + 50 \cr & \Rightarrow x = 5 \cr}\)

Difference in their ages
= (9x - 8x) years
= x years
= 5 years

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42 women can do a piece of work in 18 days. How many women would be required do the same work in 21 days ?

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42 women can do a piece of work in 18 days. How many women would be required do the same work in 21 days ?

A36

B24

C30

D44

Akilesh Kharvi ? May 29 '2017 at 10:7

Answer is : 36

Explanation:

Days      Women

18          42

21            x

21 : 18 : ; 42 : x

x = \(\frac{42\times18}{21}\) = 36

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